MHT CET 2022 Mathematics question
The equation of the curve passing through the point (0, -2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point is
Answer: (B)
Solution
The condition is , i.e. . Integrate: , so . Passing through : . Hence the curve is
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